Your eccentric Aunt Claudia has left you $50,000 in BP shares plus $50,000 cash. Unfortunately, her will requires that the BP stock not be sold for one year and the $50,000 cash must be entirely invested in one of the stocks shown below.

	BHP Billiton		Siemens		Nestle		LVMH		Toronto Dominion Bank		Samsung		BP
BHP Billiton	1.00		0.36		.05		0.39		0.57		0.49		0.46
Siemens			1.00		0.28		0.14		0.14		0.32		0.10
Nestl					1.00		0.07		0.08		0.00		0.08
LVMH							1.00		0.35		0.53		0.06
Toronto Dominion Bank									1.00		0.20		0.32
Samsung											1.00		0.33
BP													1.00
Standard deviation (%)	25.60		26.90		9.15		18.40		20.70		29.90		22.80

a. Calculate the portfolio variance for seven different portfolios. (Use decimals, not percents, in your calculations. Do not round intermediate calculations. Enter your answers as a decimal rounded to 5 places.)

b. What is the safest attainable portfolio under these restrictions?

• BP and BHP

• BP and Siemens

• BP and Nestl

• BP and LVMH

• BP and TDB

• BP and Samsung